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Finding the Fourth Proportional to 2,809.68, 3,882.51 and 2,435.46

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Solution

The fourth proportional to 2,809.68, 3,882.51 and 2,435.46 is: 3,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.68 : 3,882.51 = 2,435.46 : x
  2. Step 2: Convert to fraction form
    2,809.68/3,882.51 = 2,435.46/x
  3. Step 3: Cross multiply
    2,809.68x = 3,882.51 × 2,435.46
  4. Step 4: Simplify right side
    2,809.68x = 9,455,697.80
  5. Step 5: Solve for x
    x = 9,455,697.80/2,809.68
  6. Step 6: Final answer
    x = 3,365.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.